3 citations · 5 across the 6 of their papers we have counts for
6 papers
On Negami's planar cover conjecture
Yo'av Rieck, Yasushi Yamashita
Given a finite cover f:tilde{G} \to G and an embedding of tilde{G} in the plane, Negami conjectures that G embeds in P^2. Negami proved this conjecture for regular covers. In this…
Simple geodesics on a punctured surface
Chaim Goodman--Strauss, Yo'av Rieck
We give a new proof of McShane's classification of simple cuspidal geodesics, using simple equivariant methods in the hyperbolic plane.
Heegaard genus of the connected sum of m-small knots
Tsuyoshi Kobayashi, Yo'av Rieck
We prove that if are m-small knots in closed orientable 3-manifolds then the Heegaard genus of $E(#_{i=1}^n K_i)$ is strictly less than the su…
On the growth rate of tunnel number of knots
Tsuyoshi Kobayashi, Yo'av Rieck
Given a knot in a closed orientable manifold we define the growth rate of the tunnel number of to be . As o…
Morimoto's Conjecture for m-small knots
Tsuyoshi Kobayashi, Yo'av Rieck
Let be the exterior of connected sum of knots and the exteriors of the individual knots. In \cite{morimoto1} Morimoto conjectured (originally for ) that $g(X) < σ_{i…
Local detection of strongly irreducible Heegaard splittings via knot exteriors
Tsuyoshi Kobayashi, Yo'av Rieck
We study the way a strongly irreducible Heegaard surface intersects a knot exterior embedded in a 3-manifold, and show that if consists of simple closed…